4 Feet and about 9 inches
Answer:
he has 12/18th's of the marbles.
work:
18/18 - 6/18 = 12/18
To find the mean <span>Just add up all the numbers, then divide by how many numbers there are.
7 sets of numbers
the sum of all numbers is 105
105 </span>÷ 7 = 15
so the mean of the years is 15
Answer:
- f(x) = x^3
- g(x) = (2x+4)^2
Step-by-step explanation:
There are many ways to decompose h(x) into f(x) and g(x). The main purpose of the exercise seems to be to get you to think about the operations that are performed on x, then divide that list of operations into two parts.
In the function ...
h(x) = (2x +4)^6
the variable x is ...
- multiplied by 2
- 4 is added to the sum
- the sum is raised to the 6th power
Of course, the 6th power can be considered as the cube of a square or the square of a cube, if you like.
In the decomposition shown in the answer above, we have chosen to put most of this list in g(x), including the square of the sum. Then we have made f(x) be the cube of that square.
h(x) = f(g(x)) = (2x+4)^6
When f(x) = x^3, this is ...
h(x) = f(g(x)) = g(x)^3 = ((2x+4)^2)^3
so ...
g(x) = (2x+4)^2 . . . and . . . f(x) = x^3
_____
Other possible decompositions are ...
or
- g(x) = (x+2)
- f(x) = (2x)^6
or
or ... (many others)
Answer:
$32
Step-by-step explanation:
To find the commission, multiply the rate by the sales:
commission = 5% × $640 = $32
He made $32 in commission.
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<em>Additional comment</em>
Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.
5% = 5/100 = 0.05 = 1/20
Then 5% × $640 = $640/20 = $64/2 = $32.
